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Finding the Fourth Proportional to 24,786, 34,177.14 and 15,833.88

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Solution

The fourth proportional to 24,786, 34,177.14 and 15,833.88 is: 21,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 34,177.14 = 15,833.88 : x
  2. Step 2: Convert to fraction form
    24,786/34,177.14 = 15,833.88/x
  3. Step 3: Cross multiply
    24,786x = 34,177.14 × 15,833.88
  4. Step 4: Simplify right side
    24,786x = 541,156,733.50
  5. Step 5: Solve for x
    x = 541,156,733.50/24,786
  6. Step 6: Final answer
    x = 21,833.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.